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11TH · MATH

Question 2

menu_bookSolutionmenu_bookTheorymenu_book•(i)f(x)=4x+7f(x)=4x+7f(x)=4x+7menu_book•(ii)f(x)=sin⁡xf(x)=\sin xf(x)=sinxmenu_book•(iii)f(x)=x2+x2−1f(x)=x^2+x^2-1f(x)=x2+x2−1menu_book•(iv)f(x)=tan⁡xf(x)=\tan xf(x)=tanx
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school

11TH · MATH

Question 2

menu_bookSolutionmenu_bookTheorymenu_book•(i)f(x)=4x+7f(x)=4x+7f(x)=4x+7menu_book•(ii)f(x)=sin⁡xf(x)=\sin xf(x)=sinxmenu_book•(iii)f(x)=x2+x2−1f(x)=x^2+x^2-1f(x)=x2+x2−1menu_book•(iv)f(x)=tan⁡xf(x)=\tan xf(x)=tanx
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Accedmychevron_right11thchevron_rightmathchevron_rightFunctions And Graphschevron_rightExercise 2.1

(ii)

sin⁡(a+h)−sin⁡ah=cos⁡(a+h2)⋅sin⁡(h/2)h/2\boxed{\frac{\sin(a+h)-\sin a}{h}=\cos\left(a+\frac{h}{2}\right)\cdot\frac{\sin(h/2)}{h/2}}hsin(a+h)−sina​=cos(a+2h​)⋅h/2sin(h/2)​​
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